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57238272 = 283372132
BaseRepresentation
bin1101101001011…
…0001100000000
310222201000011000
43122112030000
5104123111042
65402452000
71263342300
oct332261400
9128630130
1057238272
112a344a63
1217204000
13bb20c00
14785d600
15505974c
hex3696300

57238272 has 324 divisors, whose sum is σ = 213209640. Its totient is φ = 15095808.

The previous prime is 57238271. The next prime is 57238273. The reversal of 57238272 is 27283275.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57238272 is a `hidden beast` number, since 572 + 3 + 82 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (57238271) and next prime (57238273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57238271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4402938 + ... + 4402950.

Almost surely, 257238272 is an apocalyptic number.

57238272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106604820).

57238272 is an abundant number, since it is smaller than the sum of its proper divisors (155971368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57238272 is a wasteful number, since it uses less digits than its factorization.

57238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 57238272 is about 7565.5979274609. The cubic root of 57238272 is about 385.3856191414.

The spelling of 57238272 in words is "fifty-seven million, two hundred thirty-eight thousand, two hundred seventy-two".